Question

Write an equation that represents a relationship between these angles. Do NOT use spaces or parentheses.

Answer 1

Angle x measures 33.5 degrees.

Explanation:

From the given picture, we can note that angle x and the angle of 23 degrees are vertical opposite angles,

Since lines l and m are perperdicular then the angle between then measures 90 degrees, so we have:

`x+23+x=90`

By collecting similar terms the equation which represents a relation between these angles is:

`2x+23=90`

Now, by subtracting 23 to both sides, we obtain:

`2x=90-23\\2x=67`

and by dividing both sides by 2, we get

`x=(67)/(2)`

`x=33.5\\`

Then angle x measures 33.5 degrees.